40893246634968 has 384 divisors, whose sum is σ = 141566757696000. Its totient is φ = 10769209583616.

The previous prime is 40893246634937. The next prime is 40893246635047. The reversal of 40893246634968 is 86943664239804.

40893246634968 is a `hidden beast` number, since 4 + 0 + 8 + 9 + 32 + 46 + 63 + 496 + 8 = 666.

40893246634968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40893246634968² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 40893246634896 and 40893246634905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120656208 + ... + 120994656.

It is an arithmetic number, because the mean of its divisors is an integer number (368663431500).

Almost surely, 2^{40893246634968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40893246634968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70783378848000).

40893246634968 is an abundant number, since it is smaller than the sum of its proper divisors (100673511061032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40893246634968 is a wasteful number, since it uses less digits than its factorization.

40893246634968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339173 (or 339157 counting only the distinct ones).

The product of its (nonzero) digits is 1289945088, while the sum is 72.

The spelling of 40893246634968 in words is "forty trillion, eight hundred ninety-three billion, two hundred forty-six million, six hundred thirty-four thousand, nine hundred sixty-eight".